My Chevy aveo5 2011 don't have any code but lack of power and engin vibrating at 3K rpm at any gear speed automatic transmission what is the problem?

This is from Repair Pal...just Google your code (P0758) to find other helpful suggestions

OBD-II Code P0758 is defined as a Shift Solenoid B Electrical The purpose of the automatic transmission is to match the engine's optimum power and torque characteristics to the driver's desired rate of acceleration and speed by auto-selecting different gear ratios or 'speeds' to power the wheels. Shift solenoid B enables the transmission to shift from 2nd gear to 3rd gear. It does this by re-directing the flow of the transmission fluid which changes the position of the shift valves in the valve body.
When the code P0758 is set in the Powertrain Computer, it means that the Powertrain Computer or PCM is not seeing the specified rpm change that occurs during a shift from 2nd gear to 3rd gear. It's also not seeing the correct increase in road speed from the vehicle speed sensor.

P0758 Symptoms

• Check Engine Light will illuminate
• Vehicle will not shift from 2nd gear to 3rd gear properly
• Decrease in fuel economy
• In unusual cases, there are no adverse conditions noticed by the driver
• In some cases, there may be performance problems and possibly misfire-like symptoms

Common Problems That Trigger the P0758 Code

• Defective Shift Solenoid
• Defective Shift Solenoid wiring or connector
• Defective Valve Body
• Dirty transmission fluid that restricts the hydraulic passages

Do you have any codes in the ECM ? Have you checked the neutral safety switch ?

run the fault codes
could be the vacuum actuator , TCM or ECM
take it to a specialist auto transmission shop for a proper diagnosis and quote

P0700 Fault Code Definition

• Transmission Control System Malfunction

What does this mean?
The purpose of the automatic transmission is to match the engine's optimum power and torque characteristics to the driver's desired rate of acceleration and speed by auto-selecting different gear ratios or 'speeds' to power the wheels.
When the code P0700 is set in the Powertrain Computer, it means that the Powertrain Computer or PCM is seeing greater than a specified RPM difference between the rotational speed of the Input RPM Sensor and the Transmission Output RPM Sensor. This can occur during shifting or when driving at steady speeds in the same gear. It often implies that the transmission is slipping.
Symptoms

• Check Engine Light will illuminate
• Vehicle will not shift properly
• Decrease in fuel economy
• In unusual cases, there are no adverse conditions noticed by the driver
• In some cases, there may be performance problems, such as dying when coming to a stop after driving on the freeway and/or misfire-like symptoms

Common Problems That Trigger the P0700 Code

• Defective Shift Solenoids
• Defective Engine Coolant Temperature Sensor
• Defective Valve Body
• Dirty transmission fluid that restricts the hydraulic passages

Common Misdiagnoses

• Engine Misfire problem
• Internal Transmission problem
• Driveline problem

Gear 2 Incorrect Ratio Our emissions expert has put together the following information about the P0732 fault code. We have also included diagnostic procedures you can take to your repair shop if the mechanic is having difficulty analyzing the code.
OBD II Fault Code

• OBD II P0732

Fault Code Definition

• Gear 2 Incorrect Ratio

What does this mean?
The purpose of the automatic transmission is to match the engine's optimum power and torque characteristics to the driver's desired rate of acceleration and speed by auto-selecting different gear ratios or 'speeds' to power the wheels.
Code P0732 When the code P0732 is set in the Powertrain Computer, it means that the Powertrain Computer or PCM is seeing a greater than a specified RPM difference between the rotational speed of the Input RPM Sensor and the Transmission Output RPM Sensor when the vehicle is in 2nd gear. This can occur during shifting or when driving at steady speeds. It often implies that the transmission is slipping.
Symptoms

• Check Engine Light will illuminate
• Vehicle will not shift properly
• Decrease in fuel economy
• In unusual cases, there are no adverse conditions noticed by the driver
• In some cases, there may be performance problems, such as dying when coming to a stop after driving on the freeway and/or misfire-like symptoms

Common Problems That Trigger the P0732 Code

• Defective 2nd gear shift solenoid
• Defective 2nd gear related gear set or clutch pack
• Defective Engine Coolant Temperature Sensor
• Defective Valve Body
• Dirty transmission fluid that restricts the hydraulic passages

Common Misdiagnoses

• Engine Misfire problem
• Internal Transmission problem
• Driveline problem

Polluting Gases Expelled

• HCs (Hydrocarbons): Unburned droplets of raw fuel that smell, affect breathing, and contribute to smog
• CO (Carbon Monoxide): Partially burned fuel that is an odorless and deadly poisonous gas
• NOX (Oxides of Nitrogen): One of the two ingredients that, when exposed to sunlight, cause smog

P0732 Diagnostic Theory for Shops and Technicians
When diagnosing a P0732 code, it is important to record the freeze frame information and then to duplicate the code setting conditions with a test drive. Pay close attention to the engine load, throttle position, RPM, and road speed because a P0732 can be difficult to detect.
One should monitor the RPM input speed and compare that to output speed RPM on a smooth, flat surface after the vehicle is warmed up and the fuel system is in a closed loop. Monitor how the 2nd gear solenoid configuration responds to an increased amount of throttle. The 2nd gear related solenoid should stay in 2nd gear and the transmission should NOT slip.

PO766

Possible causes- Low transmission fluid level
- Dirty transmission fluid
- Faulty shift solenoid D valve
- Shift solenoid D valve harness or connectors
- Shift solenoid D valve circuit is open or shorted
Tech notesWhen the a transmission solenoid is stuck off, in most cases the problem is not the electrical part of the solenoid; the problem is foreign material obstructing the mechanical function of the solenoid or the flow of the fluid through the transmission valve body. If the transmission fluid is very dirty, it is recommend changing the transmission fluid and if possible removing the transmission pan for further diagnosis. Excessive debris or metal particles on the transmission pan could be an indication that there is a transmission mechanical failure and that the transmission will need to be rebuilt or replaced. When is the code detected?The P0766 code is detected when the ECM has detected a mechanical fault with the solenoid energized, valve stuck off P0766 Description Shift solenoid valve D is turned ON or OFF by the Transmission Control Module (TCM) in response to signals sent from the park/neutral position (PNP) switch, vehicle speed and Engine Control Module (ECM) (throttle opening). Gears will then be shifted to the optimum position.

Is the car equipped with the Automatic Transmission?
If so, read on.
Otherwise skip to the end and answer some questions.

POSSIBLE SCENARIO:
I have observed a condition where my car surges slightly when the torque-converter clutch (TCC) cycles between lock and unlock when driving on an uphill grade.
First some basics and history that will explain why the TCC is used.

Engine, Torque Converter, TCC, and Transmission relationship--
The TCC allows for a solid connection between the engine and transmission which allows the input to the transmission to rotate at the same speed as the engine.
Without a TCC, there is slippage between the engine and automatic transmission. The slippage is greatest at low engine RPM. That is what allows the engine to run with the automatic transmission in gear, like when you first shift into gear or stop at a stop sign. When the throttle pedal is depressed, the engine RPM begins to increase and the torque converter begins to slip less and less the more the engine RPM increases. The car moves. But even at cruising speeds the torque converter slips slightly. Engine RPM is greater than transmission input RPM, which is realized as slight decrease in fuel efficiency.
When acceleration is complete and a constant speed is being maintained, the engine power output is reduced to the point where the TCC can engage and eliminate any slippage between the engine and transmission. If the car has a tachometer the engagement of the TCC can be verified when a slight reduction in engine RPM observed without a corresponding change in vehicle speed.
One method used to test the operation of the TCC is as follows:
Find a flat section of road where it is safe to perform the test.
Reach a steady speed and keep the gas pedal depressed with one foot. While observing the tachometer (or listening for an increase in engine RPM), with the other foot depress the brake pedal enough to activate the break light switch but not enough to engage the brakes. When the brake light switch activates, the TCC receives a signal to disengage. With the gas pedal being held steady, release the brake pedal and the engine RPM should decrease when the TCC engages.
Old cars with Automatic Transmissions did not use a TCC. I believe the TCC was put in use in an attempt to increase fuel economy.

MY EXPERIENCE WITH SIMILAR SYMPTOMS
The condition that causes that issue on my car is this:
- A slight uphill grade increases the load on the engine.
The car tends to gradually slow and it is necessary to depress the gas pedal to maintain speed.
- Depressing the throttle pedal (manually, or automatically with cruise control engaged) signals the torque converter clutch to unlock when the load increases slightly. (A more drastic load increase would signal the Transmission to downshift to a lower gear.) The corresponding increase in engine RPM and output is enough to compensate for the reduction in speed. When the vehicle speed, engine RPM, and throttle position stabilize to the point that the TCC will engage and the engine RPM will reduce in correspondence with TCC engagement. Now, if the road conditions have not changed, power output is not enough to maintain vehicle speed. With the increased load caused by full engagement between engine and transmission, and the cycle (surging) repeats itself until the road conditions change.

Does that help?
If not:

QUESTIONS
Please define the symptoms.
What are the road conditions when the surge occurs? (A slight uphill grade?)
What is the frequency of the surge?
Does the engine power output have a noticeable surge?
Is there a speed change related to the surge?
Does the tachometer move up and down with little or no change in vehicle speed?
Are all instrument indication in the normal range?
What else has changed?

Good luck!

Give a service to the transmission.

Your problem looks like there is no 4th gear
One thing you could do is :

1. Drive your car at a steady speed and cruising while your right foot is on the gas pedal with your left foot just touch a little bit the brake pedal just to release the brake switch and look the RPM should drop of 300 to 500 rpm in 3th gear. If so, you have the TCC (Torque Converter Clutch) applied next.
2. Retrieve the engine code with a scanner to see if there is any faulty transmission or engine code.
3. If you have code register than you have to solve the code first.
4. After the fix is done erase code so the PCM (Powertrain Control Module)will reset to normal.
5. Test drive to see if your problem is solved.
P.S.: Transmission fluid is very important. Do a transmission flush if you doubt.

Hope it helps.

it could be a transmission problem like drive couplings inner or outer

That is normal,If you do the same speed in 4th gear the rpm's will almost double.

The rpm's will repond faster in a manual than an automatic.

In a manual the engine supplies the power required directly to the gear that you have selected thus the engine rpm's will increase or decrease as needed.